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Finding the Fourth Proportional to 53,006.42, 73,073.57 and 42,156.16

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Solution

The fourth proportional to 53,006.42, 73,073.57 and 42,156.16 is: 58,115.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,006.42 : 73,073.57 = 42,156.16 : x
  2. Step 2: Convert to fraction form
    53,006.42/73,073.57 = 42,156.16/x
  3. Step 3: Cross multiply
    53,006.42x = 73,073.57 × 42,156.16
  4. Step 4: Simplify right side
    53,006.42x = 3,080,501,244.83
  5. Step 5: Solve for x
    x = 3,080,501,244.83/53,006.42
  6. Step 6: Final answer
    x = 58,115.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.